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10200022111101 = 3173718146763949
BaseRepresentation
bin1001010001101110000010…
…1100011101001101111101
31100010010001002010022001110
42110123200230131031331
52314104121130023401
633405454145032233
72101633025262204
oct224334054351575
940103032108043
1010200022111101
113282894627659
1211889ba925679
1358cb1cc19994
1427398012823b
1512a4d52d39d6
hex946e0b1d37d

10200022111101 has 64 divisors (see below), whose sum is σ = 14903006227200. Its totient is φ = 6179279892480.

The previous prime is 10200022111073. The next prime is 10200022111109. The reversal of 10200022111101 is 10111122000201.

It is not a de Polignac number, because 10200022111101 - 218 = 10200021848957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200022111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159470475 + ... + 159534423.

It is an arithmetic number, because the mean of its divisors is an integer number (232859472300).

Almost surely, 210200022111101 is an apocalyptic number.

It is an amenable number.

10200022111101 is a deficient number, since it is larger than the sum of its proper divisors (4702984116099).

10200022111101 is a wasteful number, since it uses less digits than its factorization.

10200022111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64654.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10200022111101 its reverse (10111122000201), we get a palindrome (20311144111302).

The spelling of 10200022111101 in words is "ten trillion, two hundred billion, twenty-two million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 17 37 51 111 181 467 543 629 1401 1887 3077 6697 7939 9231 17279 20091 23817 51837 63949 84527 113849 191847 253581 293743 341547 881229 1087133 1436959 2366113 3127499 3261399 4310877 7098339 9382497 11574769 29864183 34724307 40223921 53167483 89592549 120671763 159502449 196771073 428266453 507691111 590313219 1104974771 1284799359 1523073333 3314924313 5405417123 7280529701 16216251369 18784571107 21841589103 56353713321 91892091091 200000433551 275676273273 600001300653 3400007370367 10200022111101